Results 31 to 40 of about 7,475,610 (328)
Quartic surfaces, their bitangents and rational points [PDF]
Épijournal de Géométrie Algébrique, 2023 Let X be a smooth quartic surface not containing lines, defined over a number field K. We prove that there are only finitely many bitangents to X which are defined over K.
Pietro Corvaja, Francesco Zucconi
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Automated handling of complex chemical structures in Z‐matrix coordinates—The chemcoord library
Journal of Computational Chemistry, Volume 44, Issue 5, Page 710-726, February 15, 2023., 2023 We propose an algorithm for a chemically intuitive automatically generated Z‐matrix representation, including reliable back‐and‐forth transformation between coordinate spaces while properly handling linear dependencies. The usefulness of the method is showcased for molecule manipulation and initial guesses of reaction pathways.
Oskar Weser +2 more
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Counting rational points on a certain exponential-algebraic surface
, 2010 We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.
J. Pila
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Mathematics, 2020 Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai +4 more
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On the determination of shifting operators along geodesics on a surface [PDF]
Theoretical and Applied Mechanics, 2013 A procedure to obtain a closed form of the shifting operators along a known geodesic line on a surface as a solution of a system of linear algebraic equations is proposed.
Drašković Zoran
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Comptes Rendus. Mécanique, 2023 Reduction of a Bessel integral solution for the average transient temperature change at the surface of a constant flux thermal source/sink of circular disk aspect embedded in an otherwise insulating plane boundary of a homogeneous, isotropic, and ...
Pons, William, Pons, Stanley
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Colloquium : An algebraic model of localized surface plasmons and their interactions
, 2017 Although localized surface plasmons in metal nanoparticles can be modelled by Maxwell's equations, the difficulty in solving them forces many researchers to use numerical methods.
T. Davis, D. Gómez
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Indecomposable $K_1$ classes on a Surface and Membrane Integrals
Comptes Rendus. Mathématique, 2020 Let $X$ be a projective algebraic surface. We recall the $K$-group $K_{1,\mathrm{ind}}^{(2)}(X)$ of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.
Chen, Xi +2 more
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Computational efficiency for the surface renewal method [PDF]
Atmospheric Measurement Techniques, 2018 Measuring surface fluxes using the surface renewal (SR) method requires programmatic algorithms for tabulation, algebraic calculation, and data quality control.
J. Kelley, C. Higgins
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Geometry of some twistor spaces of algebraic dimension one
Complex Manifolds, 2015 It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface ...
Honda Nobuhiro
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